Step-by-step explanation:
[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23
Answer:
Step-by-step explanation:
Since 20% is taken off, 100%-20% or 80% remains.
80% of $65 is 0.80�$65 or $52. That's the price without tax.
The tax on $52 is 0.06�$52 or $3.12,
$52 + $3.12 = $55.12
Answer:
d
Step-by-step explanation:
Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.
Answer:
Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .
Step-by-step explanation:
Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.
Operations on polynomials can sometimes be open, like in division.
Operations on integers can produce irrational results , for example, dividing 11 by 9.
What is the standard form of y – 8 = 2(x + 3)?
Question 14 options:
a)
y = 2x + 14
b)
2x + y = 14
c)
y – 2x = 11
d)
2x – y = –14
Answer:
A
Step-by-step explanation:
So first you would distribute the 2
y - 8 = 2x + 6
Then you add 8 to both sides
y = 2x + 14
So your answer is A
PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)Step-by-step explanation:
A boat is carrying containers that weigh 1000 pounds each.
For the table
2 x 1000 = 2000
4 x 1000 = 4000
7 x 1000 = 7000
For the graph
2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.
Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.
Answer:
An expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
Now he deposited g twenty-dollar bills
Now new amount =$421.56+20g
Now he deposited k quarters
1 quarter = 0.25
k quarters = 0.25k
So, Amount in the account = 421.56+20g+0.25k
Hence an expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
1 | 4
2| 8
3| 12
4| 16
Write a function rule for the table.
A. S=40
B. c=4s
C. s=c+ 4
D. C= 4+ S
b. c=4s
you multiply x times 4 to get y
What is the graph of g(x)=[x+3]?
Answer:
last one
Step-by-step explanation:
Answer: The first graph
Step-by-step explanation:
Mind helping me out a bit? (Which of the rectangular boxes shown has the greater volume?) (Will give Brainliest if you are the first person, and IF YOUR CORRECT) ^.^
Answer:
Both are equal in volume
For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)
A) x ≥ 0
B) −5 ≤ x ≤ 30
C) 0 ≤ x ≤ 25
D) All real numbers
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
C) 0 ≤ x ≤ 25
Its correct! Hope this helps :)
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work!
Answer:
1) 2 months
Step-by-step explanation:
y = 950x + 600
y = 1100x + 300
950x + 600 = 1100x + 300
-950x -950x
____________________ subtract slope from both sides
600 = 150x + 300 ( doesn't matter which one)
-300 - 300
____________________ subtract
300 = 150x
_________ Divide each # with the slope
150 = 150
2 = x
____________Answer 2_____________
Answer:
The Resort Complex would save you 300.
step-by-step solution:
you have to do is plug in the number of months.
then multiply
then subtract both Complexes
and compare
The Resort Complex. : y = 950(6) + 600 - 6300
The uptown suite duplex : y = 1100(6) + 300 - 6900
HOPE THIS HELPS!
i need 29 part b and c please help!
Answer:
$1.50
Step-by-step explanation:
29 part c
3÷2= 1.50
3 is the cost
and 2 is the cups
for 3 drinks it would cost $1.50
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
Jerri says that a square is a rhombus because it has 4 equal sides. Brianna says that a square is a parallelogram because it has two pairs of parallel sides. Who is correct? Explain.
Answer:
Both are correct.
Step-by-step explanation:
A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.
Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N
Answer:
Number of Real Solutions = 1
Number of Extraneous Solutions = 1
Real Solutions = (x = 3)
plz do both ill mark u brainliest
Answer:
1. C
2. A
Step-by-step explanation:
Hope these are right!
Answer:
Question 16's answer is choice B. divide both sides by 6
Step-by-step explanation:
6a=27
You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.
Answer:
Question 25's answer choice is B. 5
Step-by-step explanation:
1 3/4 + 5/6 =
7/4 + 5/6 =
21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)
Good luck! Have a great day! Hope this helps!
(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)
Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.
Answer:
logarithmic function passing through point 1, -2.
Step-by-step explanation:
f(x) = log10(x) - 2
Option: logarithmic function passing through point 3, 0 is incorrect because:
f(3) = log10(3) - 2 ≈ -1.5
Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0
Option: logarithmic function passing through point 1, 2 is incorrect because:
f(1) = log10(1) - 2 = -2
which means that option: logarithmic function passing through point 1, -2 is correct.
What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?
Answer:
26.67m/s²
Step-by-step explanation:
From the question we are given
Final velocity = 30m/s = v
Initial velocity = 10m/s = u
We were not given time but we were given distance = 15m
Therefore we would be using the formula:
Acceleration = v² - u²/ 2s
Where S = distance
v = final velocity
u = initial velocity
Acceleration (a) = 30² - 10²/ 2 × 15
a = 900 - 100/ 30
a = 200/30
a = 26.666666667m/s²
a = 26.67m/s²
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
square root of x²-6x+9 if x is greater than or equal 3
Answer:
x-3
Step-by-step explanation:
x²-6x+9 is equal to (x-3)²
The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.
So the root of x²-6x+9 is x-3
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
Which of the following is equivalent to 0.0009?
A 0.0009%
B 0.009%
C 0.09%
D 0.9%
Answer:
C
Step-by-step explanation:
If you multiply by 100 u get C
Answer:
C
Step-by-step explanation:
To turn a number into a percentage, you must multiple it by 100.
Can someone please help with this math problem I'd really appreciate it.
Answer:
[tex]\mathrm{F}[/tex]
Step-by-step explanation:
[tex]y+8=4(x-5)[/tex]
[tex]x=5\\y=-8[/tex]
[tex](-8)+8=4((5)-5)[/tex]
[tex](-8)+8=4(0)[/tex]
[tex]0=0[/tex]
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
a toy car can go 3 mph. How long would it take to go 4 mph
Answer:
1 hour
Step-by-step explanation:
mph means miles per hour so in 1 mile it would be 1 hour
Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5
Answer:
x ≥ 7
Step-by-step explanation:
2x -9 ≥ 5
+9
x ≥ 14
14/2
=7
x ≥ 7